package com.fishercoder.solutions;

import java.util.PriorityQueue;

/**
 * 973. K Closest Points to Origin
 *
 * We have a list of points on the plane.  Find the K closest points to the origin (0, 0).
 *
 * (Here, the distance between two points on a plane is the Euclidean distance.)
 *
 * You may return the answer in any order.  The answer is guaranteed to be unique (except for the order that it is in.)
 *
 *
 *
 * Example 1:
 *
 * Input: points = [[1,3],[-2,2]], K = 1
 * Output: [[-2,2]]
 * Explanation:
 * The distance between (1, 3) and the origin is sqrt(10).
 * The distance between (-2, 2) and the origin is sqrt(8).
 * Since sqrt(8) < sqrt(10), (-2, 2) is closer to the origin.
 * We only want the closest K = 1 points from the origin, so the answer is just [[-2,2]].
 * Example 2:
 *
 * Input: points = [[3,3],[5,-1],[-2,4]], K = 2
 * Output: [[3,3],[-2,4]]
 * (The answer [[-2,4],[3,3]] would also be accepted.)
 *
 *
 * Note:
 *
 * 1 <= K <= points.length <= 10000
 * -10000 < points[i][0] < 10000
 * -10000 < points[i][1] < 10000
 * */
public class _973 {

    public static class Solution1 {
        public int[][] kClosest(int[][] points, int K) {
            int[][] ans = new int[K][2];

            PriorityQueue<int[]> pq = new PriorityQueue<>((o1, o2) -> {
                double dist1 = getDistance(o1);
                double dist2 = getDistance(o2);

                if (dist1 > dist2) {
                    return 1;
                } else if (dist1 < dist2) {
                    return -1;
                } else {
                    return 0;
                }
            });

            for (int[] point : points) {
                pq.add(point);
            }

            for (int i = 0; i < K; i++) {
                ans[i] = pq.poll();
            }

            return ans;
        }

        private double getDistance(int[] point) {
            return Math.sqrt(Math.pow(point[0], 2) + Math.pow(point[1], 2));
        }
    }
}
